<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
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Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
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If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
Number 15 is the only function on the page because a function is when even input has a different output. so 2 numbers can’t be equal to the same output. 14 is the only one that fits that description. 13 implies that’s it’s not a function bc there are only 3 outputs (1,2, or 3) and there are 4 inputs meaning that every input will not have a different output making it not a function
2.00+9.00+6.00+3.00+5.00+4.00+8.00-1.00-2.00= $34.00$1.44 - 34.00
41.44 - 34.00 = 7.44
The difference is $7.44, therefore the amount on the register is not reasonable.
204.5 or 204 6/11 yep thats it
